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Finding the Fourth Proportional to 28,384.95, 42,582.60 and 9,664.10

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Solution

The fourth proportional to 28,384.95, 42,582.60 and 9,664.10 is: 14,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,384.95 : 42,582.60 = 9,664.10 : x
  2. Step 2: Convert to fraction form
    28,384.95/42,582.60 = 9,664.10/x
  3. Step 3: Cross multiply
    28,384.95x = 42,582.60 × 9,664.10
  4. Step 4: Simplify right side
    28,384.95x = 411,522,291.75
  5. Step 5: Solve for x
    x = 411,522,291.75/28,384.95
  6. Step 6: Final answer
    x = 14,497.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.